一维双超荷格点上超空间的矩阵表示
Matrix formulation of superspace on 1D lattice with two supercharges
摘要：
按照最近一些作者的论文中提出的方法，并使用超场的矩阵表示，我们制定了一个精确的超对称理论与两个超荷的一维晶格。在超场形式主义中，超对称变换是唯一定义的，并且不存在某些作者最近指出的不明确之处。作用量可以用一种独特的方式表示，并且在所有的超荷下都是不变的。当超荷作用于超场积时，修正的莱布尼茨规则适用，相应的沃德恒等式采取修正的形式，但至少在树的水平上准确地保持，而它们在辐射修正存在下的有效性仍然是一个开放的问题，这里不考虑。
英文摘要：
Following the approach developed by some of the authors in recent papers and using a matrix representation for the superfields, we formulate an exact supersymmetric theory with two supercharges on a one dimensional lattice. In the superfield formalism supersymmetry transformations are uniquely defined and do not suffer of the ambiguities recently pointed out by some authors. The action can be written in a unique way and it is invariant under all supercharges. A modified Leibniz rule applies when supercharges act on a superfield product and the corresponding Ward identities take a modified form but hold exactly at least at the tree level, while their validity in presence of radiative corrections is still an open problem and is not considered here.
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